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Spherical representations of the jacobi group

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Abstract

LetG j be the Jacobi group over ap-adic field. By explicit calculations in certain models, spherical vectors for admissible Gj-representations are determined. This leads to a complete classification of spherical representations ofG j in the “almost good” case, and to a description of how these representations correspond to the characters of the Hecke algebra. This result is used to “explain” the local factors attached to a classical Jacobi eigenform of square free index by J. DULINSKI in [51].

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  1. Mathematisches Seminar, Universität Hamburg, Bundesstr. 55, D-20146, Hamburg, Deutschland

    R. Schmidt

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  1. R. Schmidt
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Schmidt, R. Spherical representations of the jacobi group. Abh.Math.Semin.Univ.Hambg. 68, 273–296 (1998). https://doi.org/10.1007/BF02942566

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  • DOI: https://doi.org/10.1007/BF02942566

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